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Finding the Fourth Proportional to 571,296.80, 857,065.04 and 171,966.80

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Solution

The fourth proportional to 571,296.80, 857,065.04 and 171,966.80 is: 257,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,296.80 : 857,065.04 = 171,966.80 : x
  2. Step 2: Convert to fraction form
    571,296.80/857,065.04 = 171,966.80/x
  3. Step 3: Cross multiply
    571,296.80x = 857,065.04 × 171,966.80
  4. Step 4: Simplify right side
    571,296.80x = 147,386,732,320.67
  5. Step 5: Solve for x
    x = 147,386,732,320.67/571,296.80
  6. Step 6: Final answer
    x = 257,986.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.